Discrete Differential Geometry by Alexander I. Bobenko, Yuri B. Suris
Discrete Differential Geometry - Table of Contents
1. Classical Differential Geometry
2. Discrete Differential Geometry
3. Approximation
4. Consistency as Integrability
5. Discrete Linear Complex Analysis
6. Integrable Circle Patterns
What You Will Learn in Discrete Differential Geometry
"Discrete Differential Geometry" by "Alexander I. Bobenko" and "Yuri B. Suris" is a detailed introduction to "discrete differential geometry", a field that studies geometric structures in a "discrete setting" rather than smooth, continuous spaces. The book bridges classical "differential geometry" with computational and combinatorial methods, providing a foundation for modeling curves, surfaces, and more using discrete mathematics. It is designed for researchers, students, and practitioners interested in applying geometric concepts to computational problems.
The book covers essential topics such as discrete curves, surfaces, nets, and integrable systems, explaining how classical geometric concepts like curvature, torsion, and transformations can be adapted to discrete structures. The authors also introduce "geometric algorithms" that allow these discrete objects to be computed and manipulated efficiently. By combining theory with computational applications, the text shows how discrete differential geometry can be applied to computer graphics, geometric modeling, and numerical simulations.
Bobenko and Suris emphasize both the mathematical foundations and practical implementations, with numerous examples, illustrations, and exercises. The book is a key resource for understanding the connections between smooth and discrete geometry, offering readers the tools to explore discrete geometric structures rigorously. Its focus on computation, modeling, and theory makes it an essential reference for anyone working in "computational geometry", applied mathematics, or geometric design.
Book Details & Specifications
Title:
Discrete Differential Geometry by Alexander I. Bobenko, Yuri B. Suris
Publisher:
World Scientific Publishing Co.
Year:
2005
Pages:
157
Type:
PDF
Language:
English
ISBN-10 #:
0821847007
ISBN-13 #:
978-0821847008
License:
Arxiv License
Amazon:
Amazon
About the Author: Alexander I. Bobenko, Yuri B. Suris
The author
Alexander I. Bobenko, Yuri B. Suris
are renowned mathematicians specializing in "discrete differential geometry", "geometric computing", and "computational geometry". They focus on developing discrete analogs of classical "differential geometry" and applying them to real-world problems in mathematics and computer science. Bobenko is known for his work on discrete surfaces, integrable systems, and "geometric algorithms", while Suris specializes in integrable systems and computational modeling. Together, they provide a rigorous and practical approach to discrete geometry, making their book an essential resource for researchers, students, and professionals working in applied mathematics, "geometric design", and computational applications.
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